Week Commencing | Sections Covered | Notes |

09/07 | - 12.1 Functions of two variables.
| Classes start 09/10 |

09/14 | - 12.2 Graphs and surfaces.
- 12.3 Contour diagrams
| |

09/21 | - 12.4 Linear functions
- 12.5 Functions of three variables
| |

09/28 | - 12.6 Continuity and limits in several variables
- 13. 1 Displacement vectors
| |

10/05 | - 13.2 Vectors in general
- 13.3 The dot product
| |

10/12 | - 13.3 The dot product
- 13.4 The cross product
| |

10/19 | - 14.1 The partial derivative
- 14.2 Computing partial derivatives algebraically
| |

10/26 | - 14.3 Local linearity and the differential
- 14.4 Directional derivatives and the gradient
| Midterm Review on 10/29 |

11/02 | **Midterm**on 11/03- 14.5 Gradients and derivatives in 3-space
| |

11/09 | - 14.6 Chain rule
- 14.7 Second order partial derivatives
| |

11/16 | - 15.1 Critical points
- 15.2 Optimisation
| |

11/23 | - 15.3 Constrained optimisation and Lagrange multipliers
| No class 11/26 (Thanksgiving!) |

11/30 | - 15.3 Constrained optimisation and Lagrange multipliers
- 16.1 The definite integral
- 16.2 Iterated integrals
| |

12/07 | - 16.2 Iterated integrals
- 16.3 Triple integrals
- 16.4 Double integrals with polar coordinates
- 16.5 Integrals with cyclindrical coordinates.
| Final week of classes |